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习题练习:Physics Unit16: Electric Charge and Electric Field

 作者: admin   总分: 82分  得分: _____________

答题人: 游客未登录  开始时间: 22年08月15日 13:36  切换到: 整卷模式

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1#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State the law of conservat7vmzwqqs 6b;9bt:i9 l ion of electric charge.
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2#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Is it possible for two negative charge;r7b-r4;pywq ku b(zxs to attract each other?

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3#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Is it possible for a pos,dyv irl;21ktv2 n g3citive and a negative charge to attract each other?

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4#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A glass rod is rubbed with a piece of silk. During thz;8+d0,khyvp4yi t7g- m soahe process the glass rod ac ;d+70izhmovya s4-hy pk,tg8quires a positive charge and the silk

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5#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A proton carries a

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6#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The model of the atom abt2ka;m ssmgsy2 o:5 6y8ksmz:*-h zshows a

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7#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A neutral atom always ha),mfgj: 41njhgl xpd 9w4pi0us

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8#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An atom has more electrons thanp66h,n d.iwjp protons. The atom is

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9#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Materials in which the electrons are bound very tightly to the ;y c.b8 x)ec)rd5 uoysnuclei are referred to)yo cxbru;d)s.c 58 ye as

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10#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Materials in which the electrons ar)y/pxw d7rck .)1rvr*6j tws ce bound very loosely to the nuclei and can move about freely within the material *w 6.c s 1r7pjrcv/)dxry) ktware referred to as

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11#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A negatively charged rod is brought near on ,tu 3g6-gplj7 uvg f.t+0vowde end of an uncharged metal bar. The pt763fggwd-vtv ,g0ulo. ju+ end of the metal bar farthest from the charged rod will be charged

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12#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Sphere A carries a net positive charge, azp;biqw0-(*by 6/ncid7 vx0j;rzfv u nd sphere B is neutral. They are placed near each other oz*0ii;;7/6ywnvbu j p x vz0-dqcf(rbn an insulated table. Sphere B is briefly touched with a wire that is grounded. Which statement is correct?

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13#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How can a negatively charged rod charge an electroscope6z*7 ndsiy dc* positively?

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14#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An originally neutral electroscope is briefly touched with a positivelqc3u)qqkve o p5cr.+ /y charged glass rod. The elqpvk /uqc r c+e5o3q).ectroscope

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15#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An originally neutral elecncretu3(j /qxp2(d2fi) yjz:/ kx 7k;x gg 4hjtroscope is grounded briefly while a positively charged glask xpy 73ixq() djxh 4 (ggc;/ 2e/jrn2k:uztfjs rod is held near it. After the glass rod is removed, the electroscope

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16#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A positive object touches a neutral electroscope, and the leaves sepage326p :*zgjujown x+rate. Then a negative object is brought near the electroscogeg 6xw :nu 2poj+3j*zpe, but does not touch it. What happens to the leaves?

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17#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A large negatively charged object is placed on an insulated table. A neutsz)42nkpvxvdq; oa;2w u1 2oaral metallic ball rolls straight toward the object, but stops before it touches it. A second neutraoxvu2;1zd sop 4qvnw )k22aa;l metallic ball rolls along the path followed by the first ball, strikes the first ball, and stops. The first ball rolls forward, but does not touch the negative object. At no time does either ball touch the negative object. What is the final charge on each ball?

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18#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Charge is

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19#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What are the units of taf p. y20nr*bhnx34hphe Coulomb constant $k$, which appears in Coulomb's law?

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20#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two charged objects are separated by a distance d. The first charge is lawyt +p9 og*lkd;) vj9krger in magnitude than the second chagt+klkop9)wj *; v 9dyrge.

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21#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Sphere A carries a net charge and sphere vzvv09 t7h;trvq2 hw 4B is neutral. They are placed near each other on an insulated table. Which statement q2vvvh7w;0 vtz94h rt best describes the electrostatic force between them?

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22#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two charged objects attract each other with a certain force. If the charges o4m)y-j7tcl . .dm/c qho pprr*n both objecj -/.drqc7cr4 )pmlto m*yph. ts are doubled with no change in separation, the force between them

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23#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two charges are separated by a distance d and exert mutual attractihu plm 1.5)tpzf h)2vave forces of F on each other. If the charges are separated by a distance of d/3, what are the new mutu15hp.)fml )tv p2ahu zal forces?

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24#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two charged objects attract each other wiped a4 m5h78.d/+c rndnhd :rwth a force F. What happens to the force between them if one charge is doubled, the other charge is tripled, and the separation distance between their centers is reduced to one-fourth its orignw hrmeap.cn/8d+475d r:hddinal value? The force is now equal to

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25#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An electron and a proton are separated by a distance of9l9rucq+ l a(hcz8ad *v2:mhj 1.0 m. What happens to the magnitude of the force on the proton if a secondvm r2zcla: h(jh d+* q98acu9l electron is placed next to the first electron?

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26#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An electron and a proton are semgd4(h 1v:-uaa e wqg)parated by a distance of 1.0 m. What happens to the magnitude of the force on the first electron if a second electron is placed next to :1a 4dgw(hmqa)u evg -the proton?

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27#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An electron and a proton are separated by a distancviy9c7q4 fff-;xhs/s 8.l9y sv yq 0eu:lhwr:e of 1.0 m. What happens to the siw. hyss 4qec yl q;f8f9:i90:x7sv r/ uy-fvlhze of the force on the proton if the electron is moved 0.50 m closer to the proton?

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28#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A point charge of +Q is placlkm*/pohk jeo6dv3 oz:*d/o0ed at the center of a square. When a second point charge of -Q is placed at one of the square's corners, it is observed that an electrostatic force of 2.0 N acts on the positive charge at the square's center. Now, identical charges of -Q are placed at the other three corners of the square. What is thlodpk0 edv/:m*o kh 3j/z6 *ooe magnitude of the net electrostatic force acting on the positive charge at the center of the square?

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29#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A point charge of +Q is placed at the centroid of an equilateral trianglps1 j8b; s1wpf+lr -;kmu1ei ce. When a second charge of +Q is placed at one of the triangle's vertices, an electrostatic force of 4.0 N acts on it. What is the magnitude of the force that acts on the center charg;-j;1mwes8puk fi+pc r 1bl1 se due to a third charge of +Q placed at one of the other vertices?


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30#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which of the following is not a ve8rdnsk p)p.f8ddp;(77pr ) u bcw(rr octor?

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31#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  At twice the distance from a point charge, the strength of the electric fieldcpa+fm k o/0 hc(d.*fv

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32#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Is it possible to have a zero electric field value betweeng. /m unb-ake; a negative and positive charge along the line joining tenb mg;k -a/.uhe two charges?

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33#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Is it possible to have a zero electric field value between two positi3y-pdieco 0t xiu*::t5 0bwf9wf1e zgve charges along the line joining *-e3gu:c 0yz tf x:o1iew9 dwtb5if0pthe two charges?

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34#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Electric field lines near psitive point cxq) :-k( hljvdharges

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35#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The electric field shown a4p3,8;poj v) gh vef(4yitpx


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36#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Can electric field lines intersect in free sp 7;(w.qtd .ksl8jcs0pzmxck8bi4g :gace?

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37#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A solid block of metal in electrostatic6gcj knibrjye13s.1k :/ki 3r equilibrium is placed in a uniform electrick j rk:ib31./j i3g1se6nc ykr field. Give a statement concerning the electric field in the block's interior.

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38#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If a solid metal sphere and a hollow metal sphere ovqw y.j;1nebp npe621a9+f tif equal diameters are each given the same charge, the electric field (E) midway np6e+avyi119p ;nqewf j.t2b between the center and the surface is

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39#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A cubic block of aluminum rests on a wooden tabl5 33drhllyb nqmqz03 6pb;bq7e in a region where a uniform electric field is directed straighmp 63yq;dq75lqrl 0bzb n33hbt upward. What can be said concerning the charge on the block's top surface?

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40#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If a conductor is in electrostati -5+g *u)ihd9bsogzwo c equilibrium near an electric charge

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41#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A positive point charge is enclosed in a hollow metallic sphere that is gr6/nhn20fj q ajounded. As compared to the case without the hollow sphere, the el a6nn0 2/qjfhjectric field at a point directly above the hollow sphere has

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42#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State three propertiesljww.+0 s o(hi of conductors in static equilibrium.
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43#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Gauss's law.
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44#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The charge carried by onedys8uz*yp4s( 5 nf*qn( eng o) electron is $e = -1.6 \times 10^{-19} \; C$. The number of electrons necessary to produce a charge of $-1.0 \; C$ is

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45#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A piece of plastic has a net charge of +2.00 mC. How many more protons thm3gkjn9s- s,l1yfc -b an electrons does this piece y -fl1kg j9sc-,nmsb3of plastic have?

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46#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What is the charge on 15r;9n wln txg0dvtazl0g ebzw/,c15- kg of protons?

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47#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An atomic nucleus has a charsv/ ;jhil 3tk.b,j 4qjge of $+40e$. An electron is $10^{-9} \; m$ from the nucleus. What is the force on the electron?

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48#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two point charges, separated by 1.5 cm, have charge ihvo(mr)j226 gygbt .values of 2.0 and -4.0 mC, respectively. What is the magnitude of the electricm)2.gbv(6rhoj i2 ytg force between them?

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49#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 1.0-C charge is 15 m from a second charge, and the fo6 r6a(*ob jv iq(tud.arce between them is 1.0 N. What is the magnitude of the sjr b*( 6doqi(uvt.6 aaecond charge?

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50#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two 1.0-C charges have a force between them of 1.0 N. How fae u s*a w4diq9ysa d2fh*. h+kt;42yizij u,x8r apart are they?

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51#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The force between a 4f+k(j dc4ue d$30 \; mC$ charge and a $-90 \; mC$ charge is 1.8 N. How far apart are they?

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52#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two point charges, initially 2.0 cm apart, experience a 1.0-N force. If they a .qv8* r3tif)si6 shwrre moved to a new separation of 8.r qvi )s3whr.*fs68it0 cm, what is the electric force between them?

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53#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Three identical point charges of ge80-/af y6 tt*35jkx xs-/de ob/m,fsr pf kj2.0 mC are placed on the x-axis. The first charge is at the origin, the second to the right at x = 50 cm, and the third is at the 100 cm mark. What are the magnitude 5grxb kj/jtfsxee m t-kd0f/o/,s63a8- f*py and direction of the electrostatic force which acts on the charge at the origin?

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54#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Three point charges a3assg4 dty,tpyo ;/4ire placed on the x-axis. A charge of +2.0 mC is placed at the origin, -2.0 m C to the right at x = 50 cm, and +4.0 mC at the 100 cm mark. What are the magnitude and direction of the electrosy t,s/o pyg i3tda44;static force which acts on the charge at the origin?

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55#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Three point charges are located at the following positions: Q1 = 2.00 mCfmlag8cp.hj8 2l +qz1 at x = 1.00 m; Q2 = 3.00 mC at x = 0; Q3 = -5.00 mC at x = -1.00 m. Whalzh.la2j 8fmgqc 1p 8+t is the magnitude of the force on the 3.00-mC charge?

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56#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A point charge of +Q is placed at the center of a square, and a second pocg nip.tjs6i/ lyep)fb -q(qg: 4f/n-int charge of -Q is pli:qq.sc)f/4f-g-n6 p itgplb/ yejn ( aced at the upper-left corner. It is observed that an electrostatic force of 2.0 N acts on the positive charge at the center. What is the magnitude of the force that acts on the center charge if a third charge of -Q is placed at the lower-left corner?


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57#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = -1.0 nC is at (0, a1rjf b b/9y(femki0nhs xvf1y09:,-r o;qj w 0.10 m); Q3 = 5.0 nC is at (0, 0). What isym-,q0raw ysbf 1b f:/ 0f(rhx ;kjjv 9no9e1i the magnitude of the net force on the 5.0 nC charge?

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58#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Q1 = 6.0 nC is at (0.30 m, 0:ptm,ca 65dza,u ;jjk ); Q2 = -1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the dpmu6 ,j,a:5; cdj atzkirection of the net force on the 5.0 nC charge?

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59#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Three identical charges of 3.0 mC are placedb/wh, e4(gyrjq d 9tr0 at the vertices of an equilateral triangle which measures 30 cm on a side. What is the magnitude of the electrostatic force which abr0/hety (g q49, djwrcts on any one of the charges?

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60#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Consider point charges of +Q and +4Q, which are se hhi*6+ek wh2aparated by 3.0 m. At what point, on a line between the two charges, would it be possible to place a charge of -Q such that the electrostati*hhahikw + 6e2c force acting on it would be zero?

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61#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A +3.0-C charge is at the origin and a +9.0-C charge is at x =2rigp :l 0l;jb;g:ycc 4.0 m. Where on the x-axis can a third charge be placed so tjl: gy2 ;l cpc;0g:irbhe net force on it is zero?

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62#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Charge +2q is placed at the origin and charge -q is plaa( rjn tx81/khya.x k-ced at x = 2a. Where can a third positive chahaktakxj.(-y1 / 8xr nrge +q be placed so that the force on it is zero?

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63#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A copper penny has a mass of 3.luq ibi efnc*5wz-z cu:,.8j 79 yk01ikyk 3bb0 g. A total of $4.0 \times 10^{12} \; electrons$ are transferred from one neutral penny to another. If the electrostatic force of attraction between the pennies is equal to the weight of a penny, what is the separation between them?

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64#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An electron is held up against the force o,8 kqdsob /sho 4s0l-wf gravity by the attraction of a fixed proton some distance above it.-lo0,84wk od /qhsss b How far above the electron is the proton?

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65#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two 0.20-g metal spheres are hung from a common point by noncf-; rq p26x p jcqfon7z6ixwk.,oo0c )onducting threads which are 30 cm long. Both are given identical charges, and the electrostatic repulsion forces them apart untiq0k;p7 62jcfwq . oxoxr,ifp-n) 6c zol the angle between the threads is $20^{\circ}$. How much charge was placed on each sphere?

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66#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An atomic nucleus has a charge of +40e. What is the magnitude of the e a.ppgv2u; dqwi8 40orlectric field a w u2qv40gap8pd; or.it a distance of 1.0 m from the nucleus?

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67#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What are the magnitude and directio .p 2lk0qtjht2s7cb,kn of the electric field at a distance of 1.5070ctsbl 2thkq,2pkj. m from a 50.0-nC charge?

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68#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5.0-C charge is 10 m from a small test charge. What isxt9k-h11 ro1 zwfwg9j1edy +y the magnitude of the electric field at the locationyh-f1k1j91o+ yxt 9dwz gw1re of the test charge?

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69#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5.0-C charge is 10 m from a small test ep0i4rfne (.prwng98charge. What is the direction of the er0 pn9erp f8w.e n(i4glectric field?

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70#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5.0-C charge is 10 m from a small test charge. What is thzd 3n1p-s0y /hqrdsc t/:m :gae magnitude of the force experienced by a 1.0 nC chargeg a -dnyz3dm:s/:sr0 pq/ht1 c placed at the location of the test charge?

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71#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two point charges each have a value of 3.yiuo 9mneda 3*ku2:ga8fz(b60 C and are separated by a distance of 4.0 m. What is the electric field at a point midway between theza(ao3:yein 8g96d*2 mku fbu two charges?

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72#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5.0-mC charge is placedi,m7k x2 f/;t;f6;w: kx s00cjit dkdx*psss t at the 0 cm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. What s0x0,pmiskx;6*kdtcf;tdjst x w /k 72:i;fsis the electric field at the 30 cm mark?

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73#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5.0-mC charge is placed at the 0 cm mark of a meter stick and ay:,n- i lsdecq 0op/v5 -4.0 mC charge is placed at :, s-v0ln5yo qcedp/ithe 50 cm mark. At what point on a line joining the two charges is the electric field zero?

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74#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two point charges of +3.0 mC and -7xwxz*/ -g8 6 pzq/onczubw2j 9z0vq9v.0 mC are placed at x = 0 and x = 0.20 m. What is the magnitude of the electric field at the point midway between them2uxo8z6x9q -z c 9 zgbpqwz0/* j/vnwv?

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75#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Three 3.0 mC charges are at the s0i oi-v53b .fxj nx1kthree corners of a square of side 0.50 m. The last corner is occupied by a -3.0 mC chargexfb0snxj1o3 .ii k 5v-. Find the electric field at the center of the square.

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76#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Consider a square which is 1.0 m on a side. Charges are placed at the corne(5 s il9x*os-( q:-ufkvph-) miwzuhr rs of the square as follows: +4.0 mC at (0, 0); +4.0 mC at (1, 1); +3.0 mC at (1, 0); -3.0 mC at (0, 1). What is the -x5zuv )wu(rp l-of(9m:k- qss i h*himagnitude of the electric field at the square's center?

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77#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A force of 10 N acts on a charge of 5.0 mC when it4k b;u/uhto 3dw s866lfs vgnj:wjk (- is placed in a uniform electrw8wd/6f3n6jhvb lu 4:gojs u(;kkts-ic field. What is the magnitude of this electric field?

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78#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A particle with a charge of 4.0 mC hpe q;.53jn zq4ug mo(eas a mass of $5.0 \times 10^{-3} \; kg$. What electric field directed upward will exactly balance the weight of the particle?

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79#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A Styrofoam ball of mass 0.120 g is placed in an electric field of 6000 N/C poi5 v/;c:*sd:bgngqzh5 fs vew*nting downward. What charge must be placed on the ball for5sg:v:ezwhb/;v5qg d **sfc n it to be suspended?

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80#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A foam ball of mass 0.157 3y,s d eroiq6nr mw,2vr.e-j0 g carries a charge of -2.00 nC. The ball is placed inside a uniform electric field, and is suspended against the force of gravity. What are the magnitude and direction of the electric field?jvd,mwry- 2r,s63e r eiq 7.on

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81#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A metal sphere of radius 10 cm carries a ce6jjz,a,tgz+*c,ag s harge of +2.0 mC. What is the magnitude os jg zec,zt*g,6ja +,af the electric field 5.0 cm from the sphere's surface?

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82#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A metal sphere of radius 2.0 c0 +8apxoga.yrmcu s/c p.8(j; r3traqqnr,g;m carries a charge of 3.0 mC. What is the electric field 6.0 cm from the center of ther8qm/an8o aj cqcxtp0; pr;u3. +g sy(a,g.rr sphere?

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